For the majority of walk photos I use a Sony RX100, compact but a little pricey, but has been brilliant. Has manual control (if needed), can shoot in RAW (if needed), has a pop-up viewfinder (if needed - which it often is in the bright sunshine we usually have on Scottish hills
), has an excellent lens (24-70), a big sensor (important for quality), and fits nicely in the chest pocket of my soft-shell or waterproof. Combined with Lightroom for processing and enhancing where required and that'll get the job done when you want to primarily walk, and take photos to record that walk.
If you want to prioritise the photography over the hill, then take the compact SLR with the best glass you can afford to carry (I binned the Canon DSLR, now use Fuji, lighter and just as good), but most importantly, take a small but capable tripod, and go out early or late when the light is best .... composition and light are everything.
It's an old cliche, but the best camera is the one you have on you at the time.